Yes. A number is called a rational number if it can be written as the ratio of two integers. (-6) and 1 are both integers. -6 = -6/1. Therefore -6 is a rational number.
Rational numbers can be either positive or negative (zero is also a rational number).
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It is a negative number. It is also a rational number; also, it's a real number.
It is the positive value of that rational number.
Any rational positive number is still rational when you make the same number negative.
It is the smallest non-negative rational number. Negative numbers are rational and are smaller.
You use a negative rational number when an answer is below zero.